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Finding the Fourth Proportional to 13,777.70, 20,654.42 and 5,463.56

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Solution

The fourth proportional to 13,777.70, 20,654.42 and 5,463.56 is: 8,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.70 : 20,654.42 = 5,463.56 : x
  2. Step 2: Convert to fraction form
    13,777.70/20,654.42 = 5,463.56/x
  3. Step 3: Cross multiply
    13,777.70x = 20,654.42 × 5,463.56
  4. Step 4: Simplify right side
    13,777.70x = 112,846,532.35
  5. Step 5: Solve for x
    x = 112,846,532.35/13,777.70
  6. Step 6: Final answer
    x = 8,190.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.